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Finding the Fourth Proportional to 2,756.16, 3,804.48 and 1,824.96

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Solution

The fourth proportional to 2,756.16, 3,804.48 and 1,824.96 is: 2,519.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,756.16 : 3,804.48 = 1,824.96 : x
  2. Step 2: Convert to fraction form
    2,756.16/3,804.48 = 1,824.96/x
  3. Step 3: Cross multiply
    2,756.16x = 3,804.48 × 1,824.96
  4. Step 4: Simplify right side
    2,756.16x = 6,943,023.82
  5. Step 5: Solve for x
    x = 6,943,023.82/2,756.16
  6. Step 6: Final answer
    x = 2,519.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.